To the OP-- as a UW parent, I have read the Slate article, and I think there is a fair amount of click-bait in it. Gov Walker pushed, and the legislature approved, major cuts to the multi-campus UW university system. As the largest campus, UW Madison was hit with the largest cuts, but other regional campuses were hit as well. The Chancellor of UW (which is what everyone alls the Madison flagship), has navigated through this funding issue about as well as anyone could. Over $200 million in private funds were donated, quickly, targeted towards attracting and retaining the talented faculty UW depends on. UW has spent $8 million this year to keep faculty who had competing offers elsewhere. 85% of the faculty who had competing offers, stayed. That is, apparently, consistent with prior years. So no flood of departures. It does cost the university more, to keep faculty, now that the word is on the street that UW faculty might be ripe for plucking.
UW has recently committed to increasing salaries for TAs, to again, attract and retain the best Ph.D. students at the graduate level. OOS tuition has increased, from my perspective as an OOS family, modestly. We started paying $26k a year, I think, for my OOS kid. It will increase to about $32k per year. Not an insignificant difference, but in our student’s experience, UW is a world class university and was a bargain at $26k. $32 is still significantly less than Michigan for an OOS and a whole lot less than at private, where we would be full-pay. So for us, it is a financial no-brainer. UW has maintained a roughly 65% Wisconsin resident, 15% Minnesota resident, and 20% other OOS undergrad student body – at least that is my understanding and I have not gone back to confirm that for this response. So there is no sudden influx of all OOS to balance the budget, which is another story which has circulated.
You can google Chancellor Blank’s positions about how UW is managing through the state-mandated budget cuts. A lot of it is consolidation of administrative functions and services. The last thing Chancellor Blank has said she wants to touch is academic programs.
Research funding for labs comes from a lot of different places. Schools are ranked on how much competitive outside funding they get, and UW is always high on that list. In many of the sciences, equipment, researchers, travel, all get funded from the external research funding. That is why research faculty with success in getting outside research funding are gold to a university, they pull in this funding which covers much of the cost “of doing science.” External research funding, such as through NSF or DoD, are entirely separate from the State’s cuts. There can be an impact, certainly, if UW loses high-performing faculty who take productive labs with them and cannot attract strong replacements.
Purdue and UW for Chem E are both excellent programs. I believe UW’s Chem E has been ranked in the top 5, but those rankings fluctuate. I didn’t think UW admitted freshman directly into departments within the College of Engineering, as students apply to their specific Engineering programs typically in sophomore year after they have completed the course pre-requisites. But my kid isn’t in the College of Engineering, so I am not current on the latest admission practices for Engineering. Read your acceptance letter carefully to confirm whether you are a direct admit to the College of Engineering or if you are a direct admit into Chem E specifically. If you aren’t comfortable living with the risk that you might not be admitted to Chem E at UW and would have to choose another engineering department, and you have been admitted directly into Purdue’s Chem E program, that might be a reason to choose Purdue. My kid has a lot of engineering friends, and he says Chem E at UW is one of the most competitive programs for admission.
Personally, I think UW and Madison wins any kind of college town/student experience comparison with Purdue and West Lafayette.
Good luck to you, they are both superb engineering programs.